Construct a triangle PQR given that PQ= 4.9 cm,angle P= 45° and angle Q= 60°. Measure angle R
explain solution please
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PQR is the required triangle
Step-by-step explanation:
• draw a line segment PQ = 4,.5 cm • with P as a center make an angle of 45 degree
• with Q as a center make an angle of 60 degrees
The point of intersection of both the rays
PX and QY will be the point R
then
we know that the sum of the angles of the triangle is 180°
therefore,
LP+ZQ+ZR = 180°
45+60+ ZR = 180°
ZR = 180° - 105°
ZR = 75°
hence, The ,measure of angle R is 75°
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